How can i animate the spin property for curves (extruding while rotating)
Perhaps you can use the screw modifier and animate the angle property.

Here is my mesh that is curved and only an edge. I apply the Screw modifier and set Angle to 0. Then I hover over the Angle box and hit i. This adds a key frame to that property. Go to the frame where you want it to be fully spun and set degrees to 360 and hit i again over the green box. It should turn yellow.




Now, it should be animated! Here is a still mid animation.